Degree 18: T₆₀₁

Name(s): t18n601

Order: 17496 = 2³ · 3⁷

Parity: -1

|Aut(K)|=|C_S18(G)|= 1

Subfields: 2T1, 3T2, 6T3

Other representations: 18T601, 18T601, 18T601, 18T601, 18T601, 18T601, 18T601, 18T601

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2, 3T2
  8: 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  24: 12T10, 12T10, 12T10
  36: 6T9, 6T9, 6T9
  72: 12T37, 12T37, 12T37
  108: 9T18, 9T18
  216: 12T117, 18T94, 18T94
  324: 9T24, 9T24
  648: 18T191, 18T191, 18T194, 18T194
  1944: 18T341, 18T341, 18T342
  5832: 18T494, 18T494